Some inequalities for the (p, q)-mixed geominimal surface areas and Lp radial Blaschke-Minkowski homomorphisms
Filomat, Tome 35 (2021) no. 4, p. 1393
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Wang et al. introduced L p radial Blaschke-Minkowski homomorphisms based on Schuster's radial Blaschke-Minkowski homomorphisms. In 2018, Feng and He gave the concept of (p, q)-mixed geominimal surface area according to the Lutwak, Yang and Zhang's (p, q)-mixed volume. In this article, associated with the (p, q)-mixed geominimal surface areas and the L p radial Blaschke-Minkowski homo-morphisms, we establish some inequalities including two Brunn-Minkowski type inequalities, a cyclic inequality and two monotonic inequalities
Classification :
52A40, 52A20
Keywords: Lp radial Blaschke-Minkowski homomorphism, the (p, q)-mixed geominimal surface area, Brunn-Minkowski type inequality, cyclic inequality, monotonic inequality
Keywords: Lp radial Blaschke-Minkowski homomorphism, the (p, q)-mixed geominimal surface area, Brunn-Minkowski type inequality, cyclic inequality, monotonic inequality
Juan Zhang; Weidong Wang. Some inequalities for the (p, q)-mixed geominimal surface areas and Lp radial Blaschke-Minkowski homomorphisms. Filomat, Tome 35 (2021) no. 4, p. 1393 . doi: 10.2298/FIL2104393Z
@article{10_2298_FIL2104393Z,
author = {Juan Zhang and Weidong Wang},
title = {Some inequalities for the (p, q)-mixed geominimal surface areas and {Lp} radial {Blaschke-Minkowski} homomorphisms},
journal = {Filomat},
pages = {1393 },
year = {2021},
volume = {35},
number = {4},
doi = {10.2298/FIL2104393Z},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2104393Z/}
}
TY - JOUR AU - Juan Zhang AU - Weidong Wang TI - Some inequalities for the (p, q)-mixed geominimal surface areas and Lp radial Blaschke-Minkowski homomorphisms JO - Filomat PY - 2021 SP - 1393 VL - 35 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2104393Z/ DO - 10.2298/FIL2104393Z LA - en ID - 10_2298_FIL2104393Z ER -
%0 Journal Article %A Juan Zhang %A Weidong Wang %T Some inequalities for the (p, q)-mixed geominimal surface areas and Lp radial Blaschke-Minkowski homomorphisms %J Filomat %D 2021 %P 1393 %V 35 %N 4 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2104393Z/ %R 10.2298/FIL2104393Z %G en %F 10_2298_FIL2104393Z
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